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Finding the Fourth Proportional to 495,364.56, 683,812.32 and 334,437.52

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Solution

The fourth proportional to 495,364.56, 683,812.32 and 334,437.52 is: 461,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,364.56 : 683,812.32 = 334,437.52 : x
  2. Step 2: Convert to fraction form
    495,364.56/683,812.32 = 334,437.52/x
  3. Step 3: Cross multiply
    495,364.56x = 683,812.32 × 334,437.52
  4. Step 4: Simplify right side
    495,364.56x = 228,692,496,446.25
  5. Step 5: Solve for x
    x = 228,692,496,446.25/495,364.56
  6. Step 6: Final answer
    x = 461,665.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.